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iren2701 [21]
3 years ago
7

Talia is packing a moving box. She has a​ square-framed poster with an area of 4 square feet. The​ cube-shaped box has a volume

of 13 cubic feet. Will the poster lie flat in the​ box? Explain?
Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

The volume of a cube = e^3

e = a single edge of the cube.

Area of a square = a^2

a = a single side of the square.

The volume of our cube = 13 ft^3

e = \sqrt[3]{13} = 2.35 ft

The area of our square =  4 ft^2

a = \sqrt{4} = 2 ft

The edge of our cube is greater than the length of our square's side.

The poster will lie flat in the box.

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A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle?
Alik [6]

Answer: A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

Step-by-step explanation:

A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle? A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

5 0
3 years ago
The cost of 4 cartons of fresh cream is $5.76. What is the cost of 13 such cartons? $16.25 $18.72 $18.76 $36.04
Natasha_Volkova [10]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Can someone explain major and minor arcs in relation to circles.
Lelechka [254]
A Major Arc within a circle is something that that is more than half of the circle, and therefore, larger than the minor arc. The way in which this could be used in an example is; Tony has a pizza with 8 slices, 6 of these slices are pepperoni and 2 are chilli beef. In this case, the pepperoni slices are the major arc and the chilli beef slices are the minor arc.
The Major Arc will always be bigger than the minor arc- whether this is 181 degrees to 179, or whether this is 350 degrees to 10 degrees.
The Minor Arc is always the smallest arc, and this can be explained by; Benedict has an apple pie that has 10 slices, between him and his friends, they have eaten four slices. In this case, they have eaten the 'minor arc'
There is a picture attached, and this is the examples of a major and a minor arc.
Hope this has been able to help you :) 

3 0
3 years ago
PLEASE HELP ASAP!! <br> Answer soon!!!
Harrizon [31]

Answer: It is

3+3+3+3

Because 3^4 means 3x3x3x3

8 0
2 years ago
Read 2 more answers
What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex
Nonamiya [84]

Combine the terms by multiplying into a single fraction.

\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14   }

Find the common denominator.

\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14   }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14   }

Combine the multiplied terms into a single fraction

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14   }

Find the common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4}    }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4}   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4}   }

Eliminate the denominators of the fractions.

\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4}   }

Cancel the multiplied terms that are in the denominator.

\bf{2(5x-14)=3x+56}

To distribute.

\bf{10x-28=3x+56 }

Add 28 to both sides.

\bf{10x-28+28=3x+56+28 }

Simplify

\bf{10x=3x+84 }

Subtract 3x from both sides.

\bf{10x-3x=3x+84-3x }

Simplify

\bf{7x=84 }

Divide both sides by the same factor.

\bf{x=\dfrac{84}{7} }

Simplify

\bf{x=12 \ \ \ === > \ \ \ Answer}

↓

<h3>Verification</h3>

Let x=12.

  1. \bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14   }
  2. \bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14   }
  3. \bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14   }
  4. \bf{30-7=\dfrac{3}{4}\times12+14   }
  5. \bf{30-7=\dfrac{3\times12}{4}+14   }
  6. \bf{30-7=\dfrac{36}{4}+14   }
  7. \bf{30-7=9+14   }
  8. \bf{23=9+14 }
  9. \bf{23=23}

Checked ✅

3 0
2 years ago
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